Just a hunch, I think she will avoid the Middle East altogether while paying the usual lip service to the foreign policy establishment. The Clintons have had a long time ambition in curbing the growth of China, expect a lot of outreach to India and SEA nations, as well as their traditional allies (SK + Japan).
If she wins a second term, she'll pass TPP.
HRC loves Ireland. She has so many friends over here from the time of building the Peace Process. She formed a unique bond with Tony Blair and Mo Mowlan that made her drive the Peace Process. Bill Clinton may have been president, but without question Hillary Clinton drove him and all sides to peace alongside the parties in UK & Ireland. With this in mind I would expect Clinton to be a formidable supporter of Ireland in the Brexit talks and push Irelands case North & South amongst the EU.